Space of modular forms of level 273, weight 12, and Character 273.bf

• Label: 273.12.bf
• Level: $273$
• Weight: $12$
• Character orbit: 273.bf
• Rep. character: $\chi_{273}(152,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $814$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 12 \)
Character orbit:	\([\chi]\)	\(=\)	273.bf (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 273 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{12}(273, [\chi])\).

	Total	New	Old
Modular forms	830	830	0
Cusp forms	814	814	0
Eisenstein series	16	16	0

Trace form

\( 814 q + 413698 q^{4} - 12288 q^{6} - 116793 q^{7} + 64154 q^{9} + O(q^{10}) \)

Decomposition of \(S_{12}^{\mathrm{new}}(273, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.